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# REVIEW-TEST 1(ANS).doc

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Ryerson University

Quantitative Methods

QMS 102

Changping Wang

Winter

Description

Business Statistics I QMS102 - Test 1
REVIEW PROBLEMS
Question 1 In a survey the respondent is asked to report the amount of income tax paid in
2010. The scale of measurement used is:
a) Nominal
b) Interval
c) Ratio
d) Ordinal
e) None of the above
Question 2 Consider the following questions being asked on a survey. What is the
measurement scale of the response data?
(a) Ordinal
(b) Nominal
(c) Interval
(d) Ratio – Discrete
(e) Ratio - Continuous
1) What was the rating of the hotel that you last stayed in? Ordinal
a) Dissatisfied
b) Somewhat Dissatisfied
c) Somewhat satisfied
d) Satisfied
e) Very good
2) What is your marital status? Nominal
1=Married; 2=Common Law; 3=Widowed; 4=Divorced; 5=Single
3) What is the major that you are studying? Nominal
a) Math
b) Physics
c) Chemistry
d) Biology
e) History
4) What is the postal code? Nominal
5) Which letter grade did you get on your Chemistry course last term? Ordinal
6) What is the color of your eyes? Nominal
7) What is the color of your car? Nominal
8) Where is your hometown? Nominal
9) How many courses are taking this term? Ratio – Discrete
10) How much time do you spend on shopping each week? Ratio - Continuous
0
11) What was the lowest temperature in C in the city you are living last month?
Interval
12) How many children do you intend to have? Ratio – Discrete
13) How many languages can you speak? Ratio – Discrete
14) Which language is your native language? Nominal
15) Where were you born? Nominal 16) What is your weight? Ratio - Continuous
17) How long does it take for you to walk from your home to Ryerson? Ratio -
Continuous
NOTE: Questions 3 – 4 are based on the following information.
The following data represents the heights (m) for a sample of 11 boys at age 12.
1.38, 1.43, 1.25, 1.47, 1.29, 1.54, 1.37, 1.25, 1.53, 1.45, 1.29
Question 3 If you were to construct a stem-and-leaf display using the rules discussed in
lectures for the above data, how many stems should your final stem-and-leaf display have?
a) 7 b) 8 c) 6 d) 9 e) None of these
Question 4 Based on the stem-and-leaf display (using the rules discussed in lectures) for the
above data, how many leaves would there be on the second stem of your stem-and-leaf
display?
a) 4 b) 0 c) 2 d) 3 e) None of these
NOTE: Questions 5 - 8 are based on the following information.
The following data represents the heights (m) for a sample of 12 boys at age 12.
1.38, 1.43, 1.25, 1.47, 1.29, 1.54, 1.37, 1.25, 1.53, 1.45, 1.29, 1.41
Question 5 If you were to construct a frequency distribution using the rules discussed in
lectures for the above data, what would the class width (in thousand dollars) be?
a) 1.0 b) 0.05 c) 0.50 d) 0.10 e) 0.025
Question 6 If you were to construct a frequency distribution using the rules discussed in
lectures for the above data, how many classes are there in the frequency distribution?
a) 4 b) 5 c) 8 d) 6 e) 10
Question 7 Based on the frequency distribution using the rules discussed in lectures for the
above data, what is the relative frequency of the fourth class? (The answers provided below
are rounded to three decimal places).
a) 0.250 b) 0.333 c) 0.375 d) 0.167 e) None of these
Question 8 Based on the frequency distribution using the rules discussed in lectures for the
above data, what is the cumulative percentage of up to and including the third class? (The
answers provided below are rounded to two decimal places).
a) 16.67% b) 33.33% c) 50.00% d) 46.67% e) None of these Use the following data for questions 9 to 11 inclusive.
The following table represents the distribution of the income ($1000) in 2011 for a sample of
households in Toronto.
Table 1
Income ($1000) Number of households
20 and under 37
30
30 and under
40 22
40 and under
50 45
50 and under 5
60
60 and under
70 20
70 and under
80 11
80 and under 15
90
Question 9 The cumulative relative frequency of the households in this sample, whose
incomes in 2011 are lower than $70,000, is
a) 12.9% b) 16.8% c) 73.5% d) 83.2% e) 80.3%
Question 10 The relative frequency of the households in this sample, whose incomes in 2011
are higher than $50,000, is (rounded to three decimal places):
a) 0.671
b) 0.032
c) 0.329
d) Cannot be determined from the table
e) None of the above
Question 11
The class width (in $1000) for the classes in this table is:
a) 10,000 b) 5,000 c) 10 d) 5 e) 25
Note: Questions 12-14 are based on the following information
Forty-five students wrote the PCS105 midterm test last week. The following stem-and-leaf
display shows the grades of students who failed PCS105 midterm test last week. Stem Leaf
(×10 )
0 7 8
1 0 1 2
1 5 9
2 0 0
2 5 5 6
3
3 8 9
4 1 3
Question 12
What is the maximum value in the above data?
a) 40.3 b) 4.3 c) 4.03 d) 43 e) 41.3
Question 13
How many students passed the last week’s PCS105 midterm test?
a) 15 b) 16 c) 23 d) 29 e) 25
Question 14
What is the failure rate of this test?
a) 64.44% b) 35.56% c) 25.72% d) 24.73% e) 14.32%
Note: Questions 15 – 1

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